# Systems of Linear Equations and Inequalities

1. Solve by substitution:

x + y = 6

2x - 4y = 0

2. Does the shaded region of the graph of the system of equations x < 3, x

+ 7< 4 include the point (2, 3)? How do you know?

3. Explain what it means for a system of equations to be inconsistent and

how you can tell whether a system is inconsistent using Gaussian elimination.

4. What does it mean for two matrices to be equal?

5. Let A be a 2 x 3 matrix and B be a 2 x 3 matrix.

a) Is it possible to add A and B?

b) Is it possible to do the multiplication AB?

c) Is it possible to do the multiplication BA?

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#### Solution Summary

Systems of Linear Equations and Inequalities are investigated.

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